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Finding the Fourth Proportional to 187,207.70, 280,811.55 and 54,092.30

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Solution

The fourth proportional to 187,207.70, 280,811.55 and 54,092.30 is: 81,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,207.70 : 280,811.55 = 54,092.30 : x
  2. Step 2: Convert to fraction form
    187,207.70/280,811.55 = 54,092.30/x
  3. Step 3: Cross multiply
    187,207.70x = 280,811.55 × 54,092.30
  4. Step 4: Simplify right side
    187,207.70x = 15,189,742,606.07
  5. Step 5: Solve for x
    x = 15,189,742,606.07/187,207.70
  6. Step 6: Final answer
    x = 81,138.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.